Answer
$x=2,x= -6$
Work Step by Step
The given equation is:
$4x-12=-x^{2}$
Step 1:
Write the equation in standard form.
$x^{2}+4x-12=0$
Step 2:
Graph the related function
$y= x^{2}+4x-12$
Step 3:
Find the $x$-intercept(s).
The $x$-intercepts are $2$, $-6$.
Solutions are $x=2$, $x= -6$.
Check the solutions:
$4(2)-12=-4, -(2^2)=-4\checkmark$
$4(-6)-12=-36, -(-6)^2=-36\checkmark$
